The Language of Mathematics - Robert L. Baber

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The Language of Mathematics (eBook)

Utilizing Math in Practice

Robert L. Baber (Autor)

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2011 | 1. Auflage
440 Seiten
John Wiley & Sons (Verlag)
978-1-118-06171-8 (ISBN)

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A new and unique way of understanding the translation of
concepts and natural language into mathematical
expressions

Transforming a body of text into corresponding mathematical
expressions and models is traditionally viewed and taught as a
mathematical problem; it is also a task that most find difficult.
The Language of Mathematics: Utilizing Math in Practice
reveals a new way to view this process--not as a mathematical
problem, but as a translation, or language, problem. By presenting
the language of mathematics explicitly and systematically, this
book helps readers to learn mathematics¿and improve their
ability to apply mathematics more efficiently and effectively to
practical problems in their own work.

Using parts of speech to identify variables and functions in a
mathematical model is a new approach, as is the insight that
examining aspects of grammar is highly useful when formulating a
corresponding mathematical model. This book identifies the basic
elements of the language of mathematics, such as values, variables,
and functions, while presenting the grammatical rules for combining
them into expressions and other structures. The author describes
and defines different notational forms for expressions, and also
identifies the relationships between parts of speech and other
grammatical elements in English and components of expressions in
the language of mathematics. Extensive examples are used throughout
that cover a wide range of real-world problems and feature diagrams
and tables to facilitate understanding.

The Language of Mathematics is a thought-provoking book
of interest for readers who would like to learn more about the
linguistic nature and aspects of mathematical notation. The book
also serves as a valuable supplement for engineers, technicians,
managers, and consultants who would like to improve their ability
to apply mathematics effectively, systematically, and efficiently
to practical problems.

ROBERT LAURENCE BABER is Professor Emeritus in the Department of Computing and Software at McMaster University, Canada. A Fellow of the BCS, The Chartered Institute for IT, he has published numerous journal articles in his areas of research interest, which include mathematical modeling and the conception, planning, and design of computer-based systems for technical and business applications.

Preface.

Acknowledgements.

Part A. Introductory overview.

1. Introduction.

2. Preview: Some Statements in English and the Language of
Mathematics.

Part B. Mathematics and its language.

3. Elements of the Language of Mathematics.

4. Important Structures and Concepts in the Language of
Mathematics.

5. Solving Problems Mathematically.

Part C. English, the Language of Mathematics and translating
between them.

6. Linguistic Characteristics of English and the Language of
Mathematics.

7. Translating English to Mathematics.

8. Examples of Translating English to Mathematics.

Part D. Conclusion.

9. Summary.

Appendices.

Appendix A. Representing numbers.

Appendix B. Symbols on the Language of Mathematics.

Appendix C. Sets of numbers.

Appendix D. Special structures in mathematics.

Appendix E. Mathematical logic.

Appendix F. Waves and the wave equation.

Appendix G. Glossary: English to the Language of
Mathematics.

Appendix H. Programming languages and the Language of
Mathematics.

Appendix I. Other literature.

Index.

"This text presents a new and original point of view on
mathematics that will be useful for simplifying applications of
mathematics to practical problems by translating English statements
of a problem into the Language of Mathematics. The reviewer shares
the author's opinion that /this book will improve and increase the
reader's insight into mathematics and how to utilize it in
practice." (Zentralblatt MATH, 2012)

Erscheint lt. Verlag	13.10.2011
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Technik
Schlagworte	Angewandte Mathematik • Bildungswesen • Education • Education Special Topics • Electrical & Electronics Engineering • Elektrotechnik u. Elektronik • Fuzzy-Systeme • Fuzzy Systems • Mathematical Modeling • Mathematics • Mathematik • Mathematische Modellierung • Spezialthemen Bildungswesen
ISBN-10	1-118-06171-3 / 1118061713
ISBN-13	978-1-118-06171-8 / 9781118061718

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